Preheat oven to 375°Line 2 24-cup miniature-muffin tins with mini paper muffin liners.
In a bowl, mix flour, baking powder, cinnamon and salt. In a separate bowl, whisk eggs, lemon zest, buttermilk, oil, sugar and vanilla extract. Stir dry ingredients gently into milk mixture. Fold in berries.
Spoon batter into paper muffin liners so they're 3/4 full. Bake until a toothpick inserted into center of a muffin comes out clean, 15 to 20 minutes. Let cool in pans on wire racks for 5 minutes, remove muffins, cool on wire racks.